Concerning a certain family of almost-circular orbits in the internal variant of the averaged elliptical three-body problem

Physics

Scientific paper

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Celestial Mechanics, Circular Orbits, Elliptical Orbits, Orbit Calculation, Three Body Problem, Convergence, Equations Of Motion, Partial Differential Equations, Theorem Proving

Scientific paper

A class of periodic orbits in the internal variant of the averaged
elliptical three-body problem is identified. The approach used is based
on a small-parameter. The existence of the solutions obtained is proved,
and their convergence domain is indicated.

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